Discrete Hessian complexes in three dimensions
From MaRDI portal
Publication:2106421
DOI10.1007/978-3-030-95319-5_3zbMath1503.65291arXiv2012.10914OpenAlexW4287550466MaRDI QIDQ2106421
Publication date: 14 December 2022
Full work available at URL: https://arxiv.org/abs/2012.10914
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Einstein-Maxwell equations (83C22) Einstein equations (35Q76)
Related Items
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension ⋮ Bounded Poincaré operators for twisted and BGG complexes ⋮ The virtual element method for the 3D resistive magnetohydrodynamic model ⋮ Analysis of divergence free conforming virtual elements for the Brinkman problem ⋮ Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods
- Virtual element methods for plate bending problems
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Mimetic finite difference method
- A family of 3D continuously differentiable finite elements on tetrahedral grids
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- A trivariate Clough-Tocher scheme for tetrahedral data
- Mixed finite elements in \(\mathbb{R}^3\)
- Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions
- The virtual element method for discrete fracture network simulations
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- Mixed finite elements for elasticity
- Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\)
- Complexes from complexes
- A \(C^1\) virtual element method on polyhedral meshes
- On traces of functions in for Lipschitz domains in
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Finite element exterior calculus, homological techniques, and applications
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Spline Functions on Triangulations
- Vector potentials in three-dimensional non-smooth domains
- Finite Element Methods for Maxwell's Equations
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
- The Stokes complex for Virtual Elements in three dimensions
- Conforming discrete Gradgrad-complexes in three dimensions
- Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions
- Finite elements for divdiv conforming symmetric tensors in three dimensions
- A finite element elasticity complex in three dimensions
- The divDiv-complex and applications to biharmonic equations
- The Hitchhiker's Guide to the Virtual Element Method
- Exact smooth piecewise polynomial sequences on Alfeld splits
- The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domains
- Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
